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Simplifying 15t4 + -2t2 + 78 = 0 Reorder the terms: 78 + -2t2 + 15t4 = 0 Solving 78 + -2t2 + 15t4 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 5.2 + -0.1333333333t2 + t4 = 0 Move the constant term to the right: Add '-5.2' to each side of the equation. 5.2 + -0.1333333333t2 + -5.2 + t4 = 0 + -5.2 Reorder the terms: 5.2 + -5.2 + -0.1333333333t2 + t4 = 0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -0.1333333333t2 + t4 = 0 + -5.2 -0.1333333333t2 + t4 = 0 + -5.2 Combine like terms: 0 + -5.2 = -5.2 -0.1333333333t2 + t4 = -5.2 The t term is -0.1333333333t2. Take half its coefficient (-0.06666666665). Square it (0.004444444442) and add it to both sides. Add '0.004444444442' to each side of the equation. -0.1333333333t2 + 0.004444444442 + t4 = -5.2 + 0.004444444442 Reorder the terms: 0.004444444442 + -0.1333333333t2 + t4 = -5.2 + 0.004444444442 Combine like terms: -5.2 + 0.004444444442 = -5.195555555558 0.004444444442 + -0.1333333333t2 + t4 = -5.195555555558 Factor a perfect square on the left side: (t2 + -0.06666666665)(t2 + -0.06666666665) = -5.195555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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